A320133 Number of integer solutions to a^2 + b^2 + 2*c^2 + 11*d^2 = n.

1, 4, 6, 8, 12, 8, 8, 16, 6, 12, 24, 10, 32, 36, 16, 40, 28, 32, 62, 36, 48, 64, 40, 64, 56, 28, 56, 56, 80, 68, 48, 80, 38, 80, 80, 32, 92, 88, 88, 112, 40, 16, 112, 52, 90, 144, 44, 120, 128, 100, 78, 96, 116, 144, 160, 112, 128, 80, 136, 104, 144, 132, 92, 240

Offset

0,2

Comments

a(n) > 0 for n >= 0.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

G.f.: theta_3(q)^2 * theta_3(q^2) * theta_3(q^11).

Crossrefs

Cf. A097057, A320124, A320125, A320126, A320127, A320128, A320130, A320131, A320132, A320134, A320135, A320136.

Sequence in context: A320136 A320135 A320134 * A320132 A320131 A320130

Adjacent sequences: A320130 A320131 A320132 * A320134 A320135 A320136

Keyword

nonn

Author

Seiichi Manyama, Oct 06 2018

Status

approved